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    Question

    In a right triangle, the hypotenuse is 13 cm and one leg

    is 5 cm. What is the radius of the circle inscribed in the triangle?┬а
    A 2 cm Correct Answer Incorrect Answer
    B 3 cm Correct Answer Incorrect Answer
    C 4 cm Correct Answer Incorrect Answer
    D 5 cm Correct Answer Incorrect Answer

    Solution

    Using Pythagoras theorem we get third side = 12 cm For a right triangle, the inradius is given by r = (a + b - c) / 2, where a and b are the legs and c is the hypotenuse. Substituting the values, r = (5 + 12 - 13) / 2 = 2 cm. Correct answer: a) 2 cm

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